On maximal curves which are not Galois subcovers of the Hermitian curve

Iwan Duursma, Kit-Ho Mak

Type: Article

Publication Date: 2012-09-01

Citations: 24

DOI: https://doi.org/10.1007/s00574-012-0022-2

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Locations

Bulletin of the Brazilian Mathematical Society New Series - View
arXiv (Cornell University) - View - PDF

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Works That Cite This (24)

Action	Title	Year	Authors
+	On maximal curves that are not quotients of the Hermitian curve	2016	Massimo Giulietti Maria Montanucci Giovanni Zini
+	A complete characterization of Galois subfields of the generalized Giulietti–Korchmáros function field	2017	Nurdagül Anbar Alp Bassa Peter Beelen
+ PDF Chat	A new family of maximal curves	2018	Peter Beelen Maria Montanucci
+ PDF Chat	Maximal curves from subcovers of the GK-curve	2016	Massimo Giulietti Luciane Quoos Giovanni Zini
+	Some Ree and Suzuki curves are not Galois covered by the Hermitian curve	2017	Maria Montanucci Giovanni Zini
+	A note on certain maximal curves	2016	Saeed Tafazolian Fernando Torres
+	The complete list of genera of quotients of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math>-maximal Hermitian curve for q ≡ 1 (mod 4)	2020	Maria Montanucci Giovanni Zini
+	On the curve <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>x</mml:mi></mml:math> over finite fields	2014	Saeed Tafazolian Fernando Torres
+ PDF Chat	Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve	2022	Maria Montanucci Guilherme Tizziotti
+	An $\mathbb{F}_{p^2}$-maximal Wiman's sextic and its automorphisms	2018	Massimo Giulietti Motoko Qiu Kawakita Stefano Lia Maria Montanucci

Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	On maximal curves in characteristic two	1999	Miriam Abd�n Fernando Torres
+	Linear Representations of Finite Groups	1977	Jean-Pierre Serre
+	A characterization of Hermitian function fields over finite fields.	1994	Henning Stichtenoth Hans-Georg Rück
+ PDF Chat	None	2001	Gábor Korchmáros Fernando Torres
+ PDF Chat	None	2000	Arnaldo Garcia Henning Stichtenoth Chaoping Xing
+ PDF Chat	A new family of maximal curves over a finite field	2008	Massimo Giulietti Gábor Korchmáros
+	On Maximal Curves	1997	Rainer Fuhrmann Arnaldo Garcia Fernando Torres
+	Further examples of maximal curves	2009	Miriam Abdón Juscelino Bezerra Luciane Quoos
+	A generalization of the Giulietti–Korchmáros maximal curve	2010	Arnaldo Garcia Cem Güneri̇ Henning Stichtenoth
+	Über die Automorphismengruppe des Fermatkörpers	1996	Heinrich-Wolfgang Leopoldt